catwinz3170 catwinz3170
  • 15-09-2022
  • Mathematics
contestada

What is the sum of the first 50 terms in the arithmetic sequence 5, 8, 11, 14,...?

Respuesta :

bb4212005 bb4212005
  • 15-09-2022

Answer:

3925

Step-by-step explanation:

We can use the formula  [tex]an=a1+(n-1)d[/tex]  to find 50th term where:

[tex]an[/tex] is the nth term in the sequence

[tex]a1[/tex] is the first term in the sequence

[tex]d[/tex] is common difference between terms

[tex]5+(50-1)*3=152[/tex]

We also use the formula [tex]Sn=n*(a1+an/2)[/tex] to find the sum

[tex]50*(\frac{5+152}{2})=3925[/tex]

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